Search a number
-
+
2113330401504 = 2535738825147
BaseRepresentation
bin11110110000001100010…
…011101101000011100000
321111000212121222202100000
4132300030103231003200
5234111100040322004
64254503420500000
7305453204010630
oct36601423550340
97430777882300
102113330401504
11745292a0a933
122a16b20aa600
13124394a2924a
14744000c46c0
1539e8c680c39
hex1ec0c4ed0e0

2113330401504 has 144 divisors (see below), whose sum is σ = 7122706351488. Its totient is φ = 603808670592.

The previous prime is 2113330401503. The next prime is 2113330401551. The reversal of 2113330401504 is 4051040333112.

It is a happy number.

2113330401504 is a `hidden beast` number, since 2 + 113 + 3 + 3 + 0 + 40 + 1 + 504 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2113330401503) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 19358142 + ... + 19467005.

It is an arithmetic number, because the mean of its divisors is an integer number (49463238552).

Almost surely, 22113330401504 is an apocalyptic number.

2113330401504 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

2113330401504 is an abundant number, since it is smaller than the sum of its proper divisors (5009375949984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

2113330401504 is an equidigital number, since it uses as much as digits as its factorization.

2113330401504 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 38825179 (or 38825159 counting only the distinct ones).

The product of its (nonzero) digits is 4320, while the sum is 27.

Adding to 2113330401504 its reverse (4051040333112), we get a palindrome (6164370734616).

The spelling of 2113330401504 in words is "two trillion, one hundred thirteen billion, three hundred thirty million, four hundred one thousand, five hundred four".

Divisors: 1 2 3 4 6 7 8 9 12 14 16 18 21 24 27 28 32 36 42 48 54 56 63 72 81 84 96 108 112 126 144 162 168 189 216 224 243 252 288 324 336 378 432 486 504 567 648 672 756 864 972 1008 1134 1296 1512 1701 1944 2016 2268 2592 3024 3402 3888 4536 6048 6804 7776 9072 13608 18144 27216 54432 38825147 77650294 116475441 155300588 232950882 271776029 310601176 349426323 465901764 543552058 621202352 698852646 815328087 931803528 1048278969 1087104116 1242404704 1397705292 1630656174 1863607056 2096557938 2174208232 2445984261 2795410584 3144836907 3261312348 3727214112 4193115876 4348416464 4891968522 5590821168 6289673814 6522624696 7337952783 8386231752 8696832928 9434510721 9783937044 11181642336 12579347628 13045249392 14675905566 16772463504 18869021442 19567874088 22013858349 25158695256 26090498784 29351811132 33544927008 37738042884 39135748176 44027716698 50317390512 58703622264 66041575047 75476085768 78271496352 88055433396 100634781024 117407244528 132083150094 150952171536 176110866792 234814489056 264166300188 301904343072 352221733584 528332600376 704443467168 1056665200752 2113330401504